54596640 has 96 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 12478464.

The previous prime is 54596629. The next prime is 54596651. The reversal of 54596640 is 4669545.

It is an interprime number because it is at equal distance from previous prime (54596629) and next prime (54596651).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4765 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^54596640 is an apocalyptic number.

It is an amenable number.

54596640 is an abundant number, since it is smaller than the sum of its proper divisors (141963360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54596640 is a wasteful number, since it uses less digits than its factorization.

54596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16266 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 54596640 is about 7388.9539178425. The cubic root of 54596640 is about 379.3632920256.

The spelling of 54596640 in words is "fifty-four million, five hundred ninety-six thousand, six hundred forty".